Whakaoti i te x^2+x^2x^12

$$x ^ { 2 } + x ^ { 2 } x ^ { 12 }$$

Tauwehe

$$x^{2}\left(x^{4}+1\right)\left(x^{8}-x^{4}+1\right)$$

Ngā Upane Otinga

Tauwehea te x^{2}.

$$x^{2}\left(1+x^{12}\right)$$

Whakaarohia te 1+x^{12}. Tuhia anō te 1+x^{12} hei \left(x^{4}\right)^{3}+1^{3}. Ka taea te tapeke pūtoru te whakatauwehe mā te whakamahi i te ture: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right).

$$\left(x^{4}+1\right)\left(x^{8}-x^{4}+1\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Kāore i tauwehea ēnei pūrau i te mea kāhore ō rātou pūtake whakahau: x^{8}-x^{4}+1,x^{4}+1.

$$x^{2}\left(x^{4}+1\right)\left(x^{8}-x^{4}+1\right)$$

Aromātai

$$x^{14}+x^{2}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 12 kia riro ai te 14.

$$x^{2}+x^{14}$$